The American Statistical Association has just published a special supplementary issue of The American Statistician, titled Statistical Inference in the 21st. Century: A World Beyond p < 0.05.
This entire issue is open-access. In addition to an excellent editorial, Moving to a World Beyond "p < 0.05" (by Ronald Wasserstein, Allen Schirm, and Nicole Lazar) it comprises 43 articles with such titles as:
- The p-Value Requires Context, Not a Threshold (by Rebecca Betensky)
- The False Positive Risk: A Proposal Concerning What to do About p-Values (by David Colquhoun)
- What Have we (Not) Learnt From Millions of Scientific Papers With P Values? (by John Ioannidis)
- Three Recommendations for Improving the Use of p-Values (by Daniel Benjamin and James Berger)
I'm sure that you get the idea of what this supplementary issue is largely about.
But look back at its title - Statistical Inference in the 21st. Century: A World Beyond p < 0.05. It's not simply full of criticisms. There's a heap of excellent, positive, and constructive material in there.
Highly recommended reading!